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Finding the Fourth Proportional to 232.20, 347.90 and 220.05

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Solution

The fourth proportional to 232.20, 347.90 and 220.05 is: 329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 347.90 = 220.05 : x
  2. Step 2: Convert to fraction form
    232.20/347.90 = 220.05/x
  3. Step 3: Cross multiply
    232.20x = 347.90 × 220.05
  4. Step 4: Simplify right side
    232.20x = 76,554.29
  5. Step 5: Solve for x
    x = 76,554.29/232.20
  6. Step 6: Final answer
    x = 329.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.